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Finding the Fourth Proportional to 82,463, 113,798.96 and 46,652.24

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Solution

The fourth proportional to 82,463, 113,798.96 and 46,652.24 is: 64,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,463 : 113,798.96 = 46,652.24 : x
  2. Step 2: Convert to fraction form
    82,463/113,798.96 = 46,652.24/x
  3. Step 3: Cross multiply
    82,463x = 113,798.96 × 46,652.24
  4. Step 4: Simplify right side
    82,463x = 5,308,976,393.67
  5. Step 5: Solve for x
    x = 5,308,976,393.67/82,463
  6. Step 6: Final answer
    x = 64,380.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.